sqrt(2u+15)-sqrt(5n+3)=0

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Solution for sqrt(2u+15)-sqrt(5n+3)=0 equation:


Simplifying
sqrt(2u + 15) + -1sqrt(5n + 3) = 0

Reorder the terms:
qrst(15 + 2u) + -1sqrt(5n + 3) = 0
(15 * qrst + 2u * qrst) + -1sqrt(5n + 3) = 0
(15qrst + 2qrstu) + -1sqrt(5n + 3) = 0

Reorder the terms:
15qrst + 2qrstu + -1qrst(3 + 5n) = 0
15qrst + 2qrstu + (3 * -1qrst + 5n * -1qrst) = 0

Reorder the terms:
15qrst + 2qrstu + (-5nqrst + -3qrst) = 0
15qrst + 2qrstu + (-5nqrst + -3qrst) = 0

Reorder the terms:
-5nqrst + 15qrst + -3qrst + 2qrstu = 0

Combine like terms: 15qrst + -3qrst = 12qrst
-5nqrst + 12qrst + 2qrstu = 0

Solving
-5nqrst + 12qrst + 2qrstu = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-12qrst' to each side of the equation.
-5nqrst + 12qrst + -12qrst + 2qrstu = 0 + -12qrst

Combine like terms: 12qrst + -12qrst = 0
-5nqrst + 0 + 2qrstu = 0 + -12qrst
-5nqrst + 2qrstu = 0 + -12qrst
Remove the zero:
-5nqrst + 2qrstu = -12qrst

Add '-2qrstu' to each side of the equation.
-5nqrst + 2qrstu + -2qrstu = -12qrst + -2qrstu

Combine like terms: 2qrstu + -2qrstu = 0
-5nqrst + 0 = -12qrst + -2qrstu
-5nqrst = -12qrst + -2qrstu

Divide each side by '-5qrst'.
n = 2.4 + 0.4u

Simplifying
n = 2.4 + 0.4u

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